Question 214951
The length of a rectangular region is 20 meters less than four times its width.  If the perimeter of the region is 135 meters, find the dimensions of the region.


Step 1.  Let w be the width and 4w-20 be the length.


Step 2.  Perimeter P means adding up the 4 sides of a rectangle or P=w+w+4w-20+4w-20=135.


Step 3.  The following will solve the equation in Step 2.


*[invoke explain_simplification "w+w+4w-20+4w-20=135" ]


With w=17.5, then the length is 4w-20=4*17.5-20=50.  Check if the perimeter leads to a true statement P=2*17.5+2*50=135 which is a true statement.


Step 4.  ANSWER.  The width is 17.5 meters and the length is 50 meters.


I hope the above steps were helpful.


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Good luck in your studies!


Respectfully,
Dr J